The first unmanned probe called ”Albert Einstein’s cousin” will reach the stellar system of the Alfa Centauri (estimated radius 5x104 km) in year 2145. The probe will enter stationary orbit of radius R=3.0 x108 km. In order to power itself the probe will convert all of the radiation energy received from the star by its hemispherical antenna (radius=10m). It is estimated that when oriented at a right angle with respect to the incoming radiation, the antenna will collect total power of 3x105W. From this information find the λmax, wavelength for which the Alfa Centauri emits most of its energy

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Chapter1: Units, Trigonometry. And Vectors
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The first unmanned probe called ”Albert Einstein’s cousin” will reach the stellar system of the
Alfa Centauri (estimated radius 5x104
km) in year 2145. The probe will enter stationary orbit of
radius R=3.0 x108 km. In order to power itself the probe will convert all of the radiation energy
received from the star by its hemispherical antenna (radius=10m). It is estimated that when
oriented at a right angle with respect to the incoming radiation, the antenna will collect total power
of 3x105W. From this information find the λmax, wavelength for which the Alfa Centauri emits
most of its energy

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